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In how many ways can the letters of the word 'HEXAGON' be permuted? In how many words will the vowels be together?

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5040, 720
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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS -EXERCISE 7 (d) Long Answer Type Questions - I
  1. From the digits 1, 2, 3, 4, 5, 6 how many three - digit odd numbers ca...

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  2. How many of the natural numbers can be formed from the digits 2, 3, 5,...

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  3. How many 5-digit telephone numbers can be formed with the digits 0, 1,...

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  4. It is required to seat 5 men and 4 women in a row so that the women...

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  5. Find the value of (n!)/((n-r)!),if n=10 and r=3.

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  6. In how many ways can 6 boys and 5 girls be arranged for a group photog...

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  7. Find the number of 4 letter words, with or without meaning, which c...

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  8. The letters of the word TUESDAY are arranged in a line, each arrangeme...

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  9. How many three letter words can be made using the letters of the word ...

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  10. Find the number of different 8-letter arrangements that can be made...

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  11. In how many ways can the letters of the word 'HEXAGON' be permuted? In...

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  12. How many permutations can be made out of the letters of the word TRIAN...

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  13. How many words, with or without meaning, each of 3 vowels and 2 con...

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  14. How many words can be formed out of the letters of the word 'ARTICLE' ...

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  15. In how many ways can 5 children be arranged in a line such that : ...

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  16. Four books, one each in Chemistry, Physics, Biology and Mathematics, ...

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  17. How many different signals can be made with 6 given flags of different...

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  18. How many different 4-digit numbers can be formed from the digits 2,3,4...

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  19. How many numbers greater than 40000 can be formed using the digits 1,2...

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  20. How many odd numbers greater than 80000 can be formed using the digits...

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